Speaker
Description
The conformal bootstrap is a powerful, nonperturbative method to study
conformal field theories (CFTs). Advancements in especially the numerical bootstrap have led to extremely precise results for the computation of critical exponents in various CFTs, and the conformal bootstrap
has gained a lot of attention in recent years. The conformal bootstrap can be
generalized/modified to include defect CFTs: CFTs with extended objects that break the (super-)conformal symmetry group into a smaller (super-
)conformal subgroup. Defect theories appear in many places in theoretical
physics: from Wilson lines in high-energy string theory, to boundary CFTs
found in low-energy condensed matter physics.
We studied three-dimensional CFTs with N = 2 supersymmetry equipped
with different 1/2-BPS defects (boundary and line). Such theories allow two
types of boundaries, of which one can be analytically continued to d = 4, and
we bootstrapped the observables in the 4 − ε expansion. They also allow one
type of (twisted) line defect, of which we computed several observables using
numerical techniques.
| Do you wish to attend the workshop on-site? | yes |
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